Pith Number

pith:CT4LEFZJ

pith:2026:CT4LEFZJ2Q6ZVLEWIKVK4WUJG7

not attested not anchored not stored refs pending

Transfer Learning in High-Dimensional Clustering: Minimax Thresholds and Applications in Single-Cell Data

Abhinav Chakraborty, Sagnik Nandy

arxiv:2607.25031 v1 · 2026-07-27 · math.ST · stat.ME · stat.ML · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CT4LEFZJ2Q6ZVLEWIKVK4WUJG7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-29T00:24:58.479762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14f8b21729d43d9aac9642aaae5a8937db5130f177c47ddff267dd49794e915a

Aliases

arxiv: 2607.25031 · arxiv_version: 2607.25031v1 · doi: 10.48550/arxiv.2607.25031 · pith_short_12: CT4LEFZJ2Q6Z · pith_short_16: CT4LEFZJ2Q6ZVLEW · pith_short_8: CT4LEFZJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CT4LEFZJ2Q6ZVLEWIKVK4WUJG7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 14f8b21729d43d9aac9642aaae5a8937db5130f177c47ddff267dd49794e915a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba6ed65afd11469089352fceff5cd34602631f2724d9f33bf22dd7aa72562e4b",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-27T19:43:03Z",
    "title_canon_sha256": "5eb41646154282259dc008e0b3714881c873de221cb741991194fd932d78a909"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25031",
    "kind": "arxiv",
    "version": 1
  }
}